/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: f(a(),f(a(),x)) -> f(a(),f(x,f(f(a(),a()),a())))
Number of strict rules: 1
Direct poly ... failed.
Freezing f
1: f❆1_a(f❆1_a(x)) -> f❆1_a(f(x,f(f❆1_a(a()),a())))
2: f(a(),_1) ->= f❆1_a(_1)
Number of strict rules: 1
Direct poly ... failed.
Dependency Pairs:
   #1: #f(a(),_1) ->? #f❆1_a(_1)
   #2: #f❆1_a(f❆1_a(x)) -> #f❆1_a(f(x,f(f❆1_a(a()),a())))
   #3: #f❆1_a(f❆1_a(x)) -> #f(x,f(f❆1_a(a()),a()))
   #4: #f❆1_a(f❆1_a(x)) -> #f(f❆1_a(a()),a())
   #5: #f❆1_a(f❆1_a(x)) -> #f❆1_a(a())
Number of SCCs: 1, DPs: 3
	SCC { #1..3 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  a()		w: (61230)
  f(x1,x2)		w: (max{0, -91845 + x2 + x1})
  #f❆1_a(x1)		w: (max{0, 61232 + x1})
  #f(x1,x2)		w: (max{0, 30616 + x2 + x1})
  f❆1_a(x1)		w: (max{0, -30615 + x1})
    USABLE RULES: { 1 2 }
    Removed DPs: #1 #3
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a()		w: (15923, 1)
  f(x1,x2)		w: (15922, 1 + x2_1 + x1_1)
  #f❆1_a(x1)		w: (x1_2, x1_1)
  #f(x1,x2)		w: (0, 0)
  f❆1_a(x1)		w: (15922, 15924 + x1_1)
    USABLE RULES: { 1 2 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0